Sounds like the logo WAS created in Illustrator, so that's where you want to edit it.

In the Links panel (Window menu > Links), click the Edit Original button (pencil icon at the bottom right of the panel).

Make your edits in Illustrator and save.

Go back into the InDesign layout and if the logo does not update automatically, double-click on the the "exclamation in a triangle" warning icon next to the logo's listing in the Links panel. This should update the logo to include the change.